#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <limits.h>

#define LINE_MAX_LENGTH 512
#define MAX_INSTRUCTIONS 512
#define MAX_NODES 2048
#define MAX_HISTORY 32*1024

enum direction {
    LEFT,
    RIGHT
};

typedef struct node {
    char name[3];
    char left_name[3];
    char right_name[3];
    struct node *left;
    struct node *right;
} node_t;

typedef struct h {
    node_t *node;
    unsigned long idx;
} history_t;

typedef struct period {
    unsigned long offset;
    unsigned long period;
    unsigned long z[10];
    int z_num;
} period_t;

void connect_nodes(node_t nodes[], int nodes_num);
int all_ending_with(char endchar, node_t *nodes[], int nodes_num);

int main() {
    char *p, *buf, c;

    int first = 1, instructions_num = 0;
    enum direction instructions[MAX_INSTRUCTIONS];

    int nodes_num = 0;
    node_t nodes[MAX_NODES];

    buf = (char *)malloc(LINE_MAX_LENGTH);
    memset(buf, 0, LINE_MAX_LENGTH);
    p = buf;

    while ((c = getchar()) != EOF) {
        *p++ = c;
        if (c == '\n') {
            if (first && buf[0] == '\n') {
                first = 0;
            } else if (first) {
                p = buf;
                while (*p != '\n') {
                    instructions[instructions_num] = *p == 'L' ? LEFT : RIGHT;
                    instructions_num++;
                    p++;
                }
            } else {
                sscanf(buf, "%c%c%c = (%c%c%c, %c%c%c)", &nodes[nodes_num].name[0], &nodes[nodes_num].name[1], &nodes[nodes_num].name[2], &nodes[nodes_num].left_name[0], &nodes[nodes_num].left_name[1], &nodes[nodes_num].left_name[2], &nodes[nodes_num].right_name[0], &nodes[nodes_num].right_name[1], &nodes[nodes_num].right_name[2]);
                nodes_num++;
            }

            memset(buf, 0, LINE_MAX_LENGTH);
            p = buf;
        }
    }

    connect_nodes(nodes, nodes_num);

    unsigned long step_counter = 0;
    node_t *curr;
#ifndef ONLY_PART2
    // Find start node
    for (int i = 0; i < nodes_num; i++) {
        if (nodes[i].name[0] == 'A' && nodes[i].name[1] == 'A' && nodes[i].name[2] == 'A') {
            curr = &nodes[i];
            break;
        }
    }

    while (curr->name[0] != 'Z' || curr->name[1] != 'Z' || curr->name[2] != 'Z') {
        switch (instructions[step_counter % instructions_num]) {
            case LEFT:
                curr = curr->left;
                break;
            case RIGHT:
                curr = curr->right;
                break;
        }

        step_counter++;
    }

    printf("%lu\n", step_counter);
#endif

    // Part2
    node_t *current_nodes[MAX_NODES];
    int current_nodes_num = 0;

    // Search all nodes ending with 'A'
    for (int i = 0; i < nodes_num; i++) {
        if (nodes[i].name[2] == 'A') {
            current_nodes[current_nodes_num] = &nodes[i];
            current_nodes_num++;
        }
    }

    period_t periods[MAX_NODES];

    for (int i = 0; i < current_nodes_num; i++) {
        history_t history[MAX_HISTORY];
        int history_num = 0;

        step_counter = 0;
        int found = 0;
        curr = current_nodes[i];

        while (!found) {
            history[history_num].node = curr;
            history[history_num].idx = step_counter % instructions_num;
            history_num++;

            switch (instructions[step_counter % instructions_num]) {
                case LEFT:
                    curr = curr->left;
                    break;
                case RIGHT:
                    curr = curr->right;
                    break;
            }

            step_counter++;
            for (int j = 0; j < history_num; j++) {
                if (history[j].node == curr && step_counter % instructions_num == history[j].idx) {
                    found = 1;
                    periods[i].offset = j;
                    periods[i].period = history_num - j;

                    periods[i].z_num = 0;
                    for (int k = periods[i].offset; k < history_num; k++) {
                        if (history[k].node->name[2] == 'Z') {
                            periods[i].z[periods[i].z_num] = k - periods[i].offset;
                            periods[i].z_num++;
                        }
                    }
                    break;
                }
            }
        }
    }

    unsigned long ref;
    int found = 0;
    step_counter = periods[0].offset;
    while (!found) {
        for (int i = 0; i < periods[0].z_num; i++) {
            found = 1;
            ref = step_counter + periods[0].z[i];
            for (int j = 0; j < current_nodes_num; j++) {
                int found2 = 0;
                for (int k = 0; k < periods[j].z_num; k++) {
                    if ((ref - periods[j].offset) % periods[j].period == periods[j].z[k]) {
                        found2 = 1;
                    }
                }
                if (!found2) {
                    found = 0;
                    break;
                }
            }
        }

        step_counter += periods[0].period;
    }

    printf("%lu\n", ref);
    free(buf);
}

void connect_nodes(node_t nodes[], int nodes_num) {
    for (int i = 0; i < nodes_num; i++) {
        // Left
        for (int j = 0; j < nodes_num; j++) {
            int found = 1;
            for (int k = 0; k < 3; k++) {
                if (nodes[i].left_name[k] != nodes[j].name[k]) {
                    found = 0;
                    break;
                }
            }
            if (found) {
                nodes[i].left = &nodes[j];
                break;
            }
        }
        // Right
        for (int j = 0; j < nodes_num; j++) {
            int found = 1;
            for (int k = 0; k < 3; k++) {
                if (nodes[i].right_name[k] != nodes[j].name[k]) {
                    found = 0;
                    break;
                }
            }
            if (found) {
                nodes[i].right = &nodes[j];
                break;
            }
        }
    }
}

int all_ending_with(char endchar, node_t *nodes[], int nodes_num) {
    for (int i = 0; i < nodes_num; i++) {
        if (nodes[i]->name[2] != endchar) {
            return 0;
        }
    }

    return 1;
}